Finding the Third Proportional to 17,860 and 38,780

Step by Step Solution

1. Step 1: Write the proportion equation
   17,860 : 38,780 = 38,780 : x
2. Step 2: Convert to fraction form
   17,860/38,780 = 38,780/x
3. Step 3: Cross multiply
   17,860x = 38,780 × 38,780
4. Step 4: Simplify right side
   17,860x = 1,503,888,400
5. Step 5: Solve for x
   x = 1,503,888,400/17,860
6. Step 6: Final answer
   x = 84,204.28